The weight of a product is normally distributed with a standard deviation of 0.5 grams.If the production manager wants no more than 5% of the products to weigh more than 5.1 grams,then the average weight should be _____.
A)4.278
B)4.833
C)4.900
D)5.212
E)5.100

Question

Quizplus · Accepted Answer

The correct answer is A because the z-score for a probability of 0.05 is -1.645. The z-score is calculated as (5.1 - x) / 0.5, where x is the average weight. Solving for x gives x = 4.278.

The Weight of a Product Is Normally Distributed with a Standard